On numerical solution of weight minimization of elastic bodies weakly supporting tension
Applications of Mathematics (1995)
- Volume: 40, Issue: 1, page 21-31
- ISSN: 0862-7940
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topKočandrle, Petr, and Rybníček, Petr. "On numerical solution of weight minimization of elastic bodies weakly supporting tension." Applications of Mathematics 40.1 (1995): 21-31. <http://eudml.org/doc/32900>.
@article{Kočandrle1995,
abstract = {Shape optimization of a two-dimensional elastic body is considered, provided the material is weakly supporting tension. The problem generalizes that of a masonry dam subjected to its weight and to the hydrostatic pressure. A part of the boundary has to be found so as to minimize a given cost functional. The numerical realization using a penalty method and finite element technique is presented. Some typical results are shown.},
author = {Kočandrle, Petr, Rybníček, Petr},
journal = {Applications of Mathematics},
keywords = {shape optimization; weight minimization; penalty method; masonry-like materials; finite elements; shape optimization; masonry dam; hydrostatic pressure; penalty method},
language = {eng},
number = {1},
pages = {21-31},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On numerical solution of weight minimization of elastic bodies weakly supporting tension},
url = {http://eudml.org/doc/32900},
volume = {40},
year = {1995},
}
TY - JOUR
AU - Kočandrle, Petr
AU - Rybníček, Petr
TI - On numerical solution of weight minimization of elastic bodies weakly supporting tension
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 1
SP - 21
EP - 31
AB - Shape optimization of a two-dimensional elastic body is considered, provided the material is weakly supporting tension. The problem generalizes that of a masonry dam subjected to its weight and to the hydrostatic pressure. A part of the boundary has to be found so as to minimize a given cost functional. The numerical realization using a penalty method and finite element technique is presented. Some typical results are shown.
LA - eng
KW - shape optimization; weight minimization; penalty method; masonry-like materials; finite elements; shape optimization; masonry dam; hydrostatic pressure; penalty method
UR - http://eudml.org/doc/32900
ER -
References
top- Weight minimization of elastic bodies weakly supporting tension I, Appl. Math. 37 (1992), 201–240. (1992) MR1157456
- Weight minimization of elastic bodies weakly supporting tension II. Domains with two curved sides, Appl. Math. 37 (1992), 289–312. (1992) MR1180607
- Shape optimization of the body free boundary, Research Report no. 102 07 92, University of West Bohemia, 1992, in Czech. (1992)
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